| 一类含Hille-Yosida算子的Volterra积分微分方程的解 |
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| 引用本文： | 李春宏,刘丽英. 一类含Hille-Yosida算子的Volterra积分微分方程的解[J]. 宝鸡文理学院学报(自然科学版), 2010, 30(3): 9-11. DOI: 10.3969/j.issn.1007-1261.2010.03.003 |
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| 作者姓名： | 李春宏 刘丽英 |
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| 作者单位： | 成都理工大学,应用数学系,四川,成都,610051;成都理工大学,应用数学系,四川,成都,610051 |
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| 摘 要： | 目的 研究一类含Hille-Yosida算子的Volterra积分微分方程严格解的存在性和唯一性.方法 使用抽象Cauchy问题的结论和压缩映象原理.结果 与结论证明了含Hille-Yosida算子的Volterra积分微分方程严格解的存在性和唯一性
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| 关 键 词： | Hille-Yosida算子 Volterra积分微分方程 严格解 压缩映象原理 |
The solution of Volterra integro-differential equation for Hille-Yosida operators |
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| LI Chun-hong,LIU Li-ying. The solution of Volterra integro-differential equation for Hille-Yosida operators[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2010, 30(3): 9-11. DOI: 10.3969/j.issn.1007-1261.2010.03.003 |
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| Authors: | LI Chun-hong LIU Li-ying |
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| Affiliation: | LI Chun-hong,LIU Li-ying(Department of Applied Mathematics,Chengdu University of Technology,Chengdu 610051,Sichuan,China) |
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| Abstract: | Aim To study the existence and uniqueness of exact solution of a kind of Volterra integro-differential equation for Hille-Yosida operators.Methods The study is based on the conclusion of the abstract Cauchy problem and the main proof method is contraction mapping principle.Results and Conclusion It has been proved that the exact solution is existent and unique. |
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| Keywords: | Hille-Yosida operator Volterra integro-differential equation exact solution contraction mapping principle |
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